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Finding the Fourth Proportional to 383,967.40, 576,123.90 and 134,828.20

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Solution

The fourth proportional to 383,967.40, 576,123.90 and 134,828.20 is: 202,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,967.40 : 576,123.90 = 134,828.20 : x
  2. Step 2: Convert to fraction form
    383,967.40/576,123.90 = 134,828.20/x
  3. Step 3: Cross multiply
    383,967.40x = 576,123.90 × 134,828.20
  4. Step 4: Simplify right side
    383,967.40x = 77,677,748,413.98
  5. Step 5: Solve for x
    x = 77,677,748,413.98/383,967.40
  6. Step 6: Final answer
    x = 202,302.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.